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POST UTME UNIBEN 2023 Physics | Objective

Are you preparing for POST UTME UNIBEN exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2023 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8 nF, what is the charge stored when the potential difference between the plates is 10 V?

Correct A. 8 x 10^-10 C

B. 4 x 10^-10 C

C. 16 x 10^-10 C

D. 32 x 10^-10 C

Correct Answer: A

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Question 2

A ray of light passes through a prism and is re\fracted at an angle of 30°. If the angle of incidence is 20°, what is the angle of re\fraction?

A. 40°

Correct B. 50°

C. 60°

D. 70°

Correct Answer: B

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Question 3

A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 0.1 m from its equilibrium position and released, what is the maximum speed of the block?

Correct A. 0.447 m/s

B. 0.894 m/s

C. 1.414 m/s

D. 2.828 m/s

Correct Answer: A

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Question 4

A gas is enclosed in a cylinder with a movable piston. If the pressure of the gas is 100 kPa and the volume is 0.5 m^3, what is the work done by the gas when the volume is increased to 1.0 m^3?

Correct A. 50 x 10^3 J

B. 100 x 10^3 J

C. 200 x 10^3 J

D. 500 x 10^3 J

Correct Answer: A

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Question 5

A point charge of 2 μC is placed at the origin. If a second point charge of -3 μC is placed 0.5 m away from the first charge, what is the electric potential at the point 0.2 m away from the second charge?

Correct A. -1.35 x 10^6 V

B. -1.35 x 10^5 V

C. -1.35 x 10^4 V

D. -1.35 x 10^3 V

Correct Answer: A

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Question 6

A parallel plate capacitor is connected to a battery of emf 12V. The dis\tance between the plates is 2mm and the area of each plate is 0.05m^2. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance of the capacitor.

A. 0.001F

B. 0.002F

Correct C. 0.003F

D. 0.004F

Correct Answer: C

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Question 7

A particle of mass 2kg is moving in a circular path of radius 3m with a cons\tant speed of 4m/s. If the particle is subjected to a centripetal force of 10N, calculate the time taken by the particle to complete one revolution.

A. 2s

Correct B. 4s

C. 6s

D. 8s

Correct Answer: B

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Question 8

A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 9

A circuit consists of a 10Ω resistor, a 20Ω resistor and a 5Ω resistor connected in series. If a voltage of 15V is applied across the circuit, calculate the current flowing through the circuit.

A. 0.5A

B. 1A

Correct C. 1.5A

D. 2A

Correct Answer: C

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Question 10

A gas is heated from 20°C to 50°C at cons\tant pressure. If the initial volume is 2L, calculate the final volume of the gas.

A. 2.5L

B. 3L

Correct C. 3.5L

D. 4L

Correct Answer: C

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Question 11

A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. The particle is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the angular frequency of the particle's motion.

A. 5 rad/s

Correct B. 10 rad/s

C. 15 rad/s

D. 20 rad/s

Correct Answer: B

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Question 12

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial volume is 2 L, calculate the final volume of the gas.

Correct A. 1.33 L

B. 2.33 L

C. 3.33 L

D. 4.33 L

Correct Answer: A

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Question 13

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 12 V battery is connected across the circuit, calculate the current flowing through the 20 Ω resistor.

A. 0.2 A

Correct B. 0.3 A

C. 0.4 A

D. 0.5 A

Correct Answer: B

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Question 14

A 100 μF capacitor is connected in series with a 200 Ω resistor. If a 10 V battery is connected across the circuit, calculate the time cons\tant of the circuit.

A. 0.02 s

Correct B. 0.04 s

C. 0.06 s

D. 0.08 s

Correct Answer: B

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Question 15

A 5 mH inductor is connected in series with a 10 Ω resistor. If a 12 V battery is connected across the circuit, calculate the inductive reac\tance of the circuit.

A. 10 Ω

Correct B. 20 Ω

C. 30 Ω

D. 40 Ω

Correct Answer: B

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Question 16

A 2.5 m long wire of resis\tance 5 Ω is connected in series with a 10 V battery and a 3 Ω resistor. If the current through the wire is 0.5 A, what is the potential difference across the 3 Ω resistor?

A. 2.5 V

Correct B. 3.75 V

C. 4.5 V

D. 5.5 V

Correct Answer: B

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Question 17

A body of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. What is the magnitude of the force acting on the body?

A. 10 N

B. 12 N

Correct C. 15 N

D. 20 N

Correct Answer: C

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Question 18

A capacitor of capaci\tance 10 μF is connected in series with a 5 Ω resistor and a 10 V battery. If the current through the circuit is 0.2 A, what is the potential difference across the capacitor?

A. 2 V

B. 3 V

Correct C. 4 V

D. 5 V

Correct Answer: C

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Question 19

A 5 kg body is moving in a straight line with an initial velocity of 10 m/s. If the body experiences a cons\tant acceleration of 2 m/s², what is its velocity after 5 seconds?

A. 15 m/s

B. 20 m/s

Correct C. 25 m/s

D. 30 m/s

Correct Answer: C

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Question 20

A 2.5 m long wire of resis\tance 5 Ω is connected in series with a 10 V battery and a 3 Ω resistor. If the current through the wire is 0.5 A, what is the potential difference across the wire?

A. 2.5 V

Correct B. 3.75 V

C. 4.5 V

D. 5.5 V

Correct Answer: B

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Question 21

A parallel plate capacitor has plates of area $A$ and separation $d$. If the capaci\tance is $C$, find the value of $d$ in terms of $A$ and $C$.

A. \frac{A}{C}

Correct B. \frac{AC}{d}

C. \frac{Cd}{A}

D. \frac{A}{Cd}

Correct Answer: B

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Question 22

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subjected to a centripetal force $F_c$, find the value of $F_c$ in terms of $m$, $v$, and $r$.

Correct A. \frac{mv^2}{r}

B. \frac{mv}{r}

C. \frac{m}{vr}

D. \frac{r}{mv}

Correct Answer: A

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Question 23

A light ray is incident on a glass slab at an angle of incidence $\theta_i$. If the re\fractive index of the glass is $n$, find the value of the angle of re\fraction $\theta_r$ in terms of $\theta_i$ and $n$.

Correct A. \frac{n\theta_i}{n-1}

B. \frac{n-1}{n\theta_i}

C. \frac{n\theta_i}{n+1}

D. \frac{n+1}{n\theta_i}

Correct Answer: A

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Question 24

A circuit consists of a resistor $R$ and an inductor $L$ connected in series. If the circuit is driven by an alternating voltage source of frequency $f$, find the impedance $Z$ of the circuit in terms of $R$, $L$, and $f$.

Correct A. \sqrt{R^2 + $ 2\pi f L $^2}

B. \frac{R}{2\pi f L}

C. \frac{2\pi f L}{R}

D. \frac{R}{2\pi f L}

Correct Answer: A

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Question 25

A projectile is launched from the ground with an initial velocity $v_0$ at an angle of elevation $\theta$. If the projectile is subject to a cons\tant acceleration due to gravity $g$, find the maximum height $h$ reached by the projectile in terms of $v_0$, $\theta$, and $g$.

Correct A. \frac{v_0^2\sin^2\theta}{2g}

B. \frac{v_0^2\cos^2\theta}{2g}

C. \frac{v_0^2\sin\theta}{2g}

D. \frac{v_0^2\cos\theta}{2g}

Correct Answer: A

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